Question

6x-12y-36=0 graph the linear functions by plotting x and y intercepts

Answer 1

Now we can plot the graph by the two intercept points (0,-3) and (6,0)

The graph is shown in the attachment.

Explanation:

We are given the equation:

`6x-12y-36=0`

Now x intercept can be found by plugging y equal to zero and solving the equation for x.

So plugging y=0 in the given equation, we have

`6x-12(0)-36=0`

`6x-36=0`

`6x=36`

x=6

So x intercept is at x=6

Similarly y intercept can be found by plugging x equal to zero and solving the equation for y.

So plugging x=0 in the given equation, we have

`6(0)-12y-36=0`

`-12y-36=0`

`-12y=36`

y=-3

So y intercept is at y=-3

Now we can plot the graph by the two intercept points (0,-3) and (6,0)

The graph is shown in the attachment.